R.J.
Since you asked how we save and how much...
We currently don't. My husband just graduated 2 years ago (and hasn't done his master's program he wants to do), and I still have several years of college left to do.
We're on the "pay for college perpetually" plan. By the time both I and my husband finish school our 8yo will be just about starting school. On the upside... the pricetag won't be a shock. Also, ideally, kiddo will be able to dual enroll when he's in highschool. (Dual enrollment programs are free in most states that offer them, you "just" have to pay for books... which currently run us about $500-$1000 per quarter). In our state the dual enrollment program is called "Running Start". The homeschool students who use Running Start either have their AA/AS completed by the time they're 18 and age out (and have to start paying), or they use them as their highschool transcripts into an Ivy League school. A large part of the reason that we homeschool is to be able to give him a good shot for college. We can't save money for school... but we can durn well up his chances of getting in, and the way that homeschool works, it means his schedule will allow him to go to college full time as a highschool aged student. Which means 2 years of school is "taken care of".
By the time kiddo is in school, either we'll be making a LOT more money than we currently do (from me working), or he'll have two kick butt advisors on scholarships/ grants/ loans. Since the scholarship route starts off in the 9th grade (aka scholarships which are only for freshmen, sophmores, Jrs, Srs,) we'll be starting down that path in just a few years.
But we currently just CAN'T afford to pay for school for us, and to be saving for school for him. There just isn't extra money for it. So the money is going to have to come from sweat, planning, and out of the box thinking. Hardwork and luck is the best that we can offer.